Answer:
E. If two angles are complimentary, then the sum of the measures of the angles is 90.
Step-by-step explanation:
A,B,C,D,E all the conditionals have a true converse.
What is converse of a statement?
A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then”
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains."
Statement If p , then q .
Converse If q , then p .
How to find if converse is true of all the given conditionals?
We have given,
A:If a quadrilateral is a square, then it has four congruent sides.
Let p : A quadrilateral is a square.
q: It has four congruent sides.
Statement p->q
Converse q->p
If it has four congruent sides ,then a quarilateral is a square.
Yes, its converse is also true.
B:If a polygon is a triangle, then it has 3 sides.
Let p : A polygon is a triangle
q: It has 3 sides.
Statement : p->q
Converse : q->p
If it has three side then polygon is a triangle.
Yes, its converse is also true.
C: If a quadrilateral is a rectangle, then it has two pairs of parallel sides.
Let p: A quadrilateral is a rectangle
q: It has two pairs of parallel sides
Statement : p->q
Converse : q->p
If it has two pairs of parellel sides then a quadrilateral is a rectangle.
Yes, its converse is also true.
D:If two angles are congruent, then they have the same measure.
Let p : the angles are congruent
q: two angles have the same measure
Statement : p->q
Converse : q->p
If two angles have the same measure then they are congruent.
Yes, its converse is also true.
E:If two angles are complimentary, then the sum of the measures of the angles is 90.
Let p: Two angles are complimentary
q: The sum of the measures of the angles is 90.
Statement : p->q
converse : q->p
If the sum of the measures of the angles is 90 then two angles are complimentary.
Yes, its converse is also true.
Learn more about converse statements: https://brainly.com/question/18152035
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